2. Atomic interactions can be modeled using a variety of potential energy approximations. In a one-dimensional...

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2. Atomic interactions can be modeled using a variety of potential energy approximations. In a one-dimensional monatomic chain consisting of N atoms, the interaction energy between neighboring atoms can be expressed as U(y) 12 4l()" - (P1 Where and are constants specific to a given material, is the interatomic spacing given in units of Angstroms, and U(r) has units of eV atom. [15 points] (a) Calculate the interatomic spacing and interaction energy when in equilibrium. (b) Find the elasticity modulus (stiffness) of the monoatomic chain, only considering the interaction energy between neighboring atoms. 2. Atomic interactions can be modeled using a variety of potential energy approximations. In a one-dimensional monatomic chain consisting of N atoms, the interaction energy between neighboring atoms can be expressed as U(y) 12 4l()" - (P1 Where and are constants specific to a given material, is the interatomic spacing given in units of Angstroms, and U(r) has units of eV atom. [15 points] (a) Calculate the interatomic spacing and interaction energy when in equilibrium. (b) Find the elasticity modulus (stiffness) of the monoatomic chain, only considering the interaction energy between neighboring atoms.